16852460728320 has 3744 divisors, whose sum is σ = 78002392366080. Its totient is φ = 3405455032320.

The previous prime is 16852460728319. The next prime is 16852460728399. The reversal of 16852460728320 is 2382706425861.

16852460728320 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 2 + 4 + 607 + 2 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 411035627500 + ... + 411035627540.

It is an arithmetic number, because the mean of its divisors is an integer number (20833972320).

Almost surely, 2^{16852460728320} is an apocalyptic number.

16852460728320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16852460728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39001196183040).

16852460728320 is an abundant number, since it is smaller than the sum of its proper divisors (61149931637760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16852460728320 is an frugal number, since it uses more digits than its factorization.

16852460728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 16852460728320 in words is "sixteen trillion, eight hundred fifty-two billion, four hundred sixty million, seven hundred twenty-eight thousand, three hundred twenty".